Perhaps, the simplest cases correspond to the theories where the baryon and/or lepton number are local symmetries [1]}, [2]}. In this article, for simplicity, we focus on the case where the new symmetry is the local baryon number, \(\,{\rm U}(1)_B\) , because this theory can describe new physics at a scale very close to the electroweak scale in agreement with all experimental constraints. In our study, we will investigate the properties of the Majorana dark matter candidates
since they are predicted in both theories proposed in Ref. [1]}, [2]}.
